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Finding the Fourth Proportional to 24,823.16, 37,237.20 and 8,183.36

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Solution

The fourth proportional to 24,823.16, 37,237.20 and 8,183.36 is: 12,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.16 : 37,237.20 = 8,183.36 : x
  2. Step 2: Convert to fraction form
    24,823.16/37,237.20 = 8,183.36/x
  3. Step 3: Cross multiply
    24,823.16x = 37,237.20 × 8,183.36
  4. Step 4: Simplify right side
    24,823.16x = 304,725,412.99
  5. Step 5: Solve for x
    x = 304,725,412.99/24,823.16
  6. Step 6: Final answer
    x = 12,275.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.